Question

Factorise by splitting the middle term. 10 x2 – 4x –12​

Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

Step-by-step explanation:

Equation at the end of step 1

 ((2•5x2) +  4x) -  12

STEP

2

:

STEP

3

:

Pulling out like terms

3.1     Pull out like factors :

  10x2 + 4x - 12  =   2 • (5x2 + 2x - 6)  

Trying to factor by splitting the middle term

3.2     Factoring  5x2 + 2x - 6  

The first term is,  5x2  its coefficient is  5 .

The middle term is,  +2x  its coefficient is  2 .

The last term, "the constant", is  -6  

Step-1 : Multiply the coefficient of the first term by the constant   5 • -6 = -30  

Step-2 : Find two factors of  -30  whose sum equals the coefficient of the middle term, which is   2 .

     -30    +    1    =    -29  

     -15    +    2    =    -13  

     -10    +    3    =    -7  

     -6    +    5    =    -1  

     -5    +    6    =    1  

     -3    +    10    =    7  

     -2    +    15    =    13  

     -1    +    30    =    29